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Finding the Fourth Proportional to 677.70, 934.84 and 429.13

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Solution

The fourth proportional to 677.70, 934.84 and 429.13 is: 591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.70 : 934.84 = 429.13 : x
  2. Step 2: Convert to fraction form
    677.70/934.84 = 429.13/x
  3. Step 3: Cross multiply
    677.70x = 934.84 × 429.13
  4. Step 4: Simplify right side
    677.70x = 401,169.59
  5. Step 5: Solve for x
    x = 401,169.59/677.70
  6. Step 6: Final answer
    x = 591.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.